Class number in totally imaginary extensions of totally real function fields

Yves Aubry (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We show that, up to isomorphism, there are only finitely many totally real function fields which have any totally imaginary extension of a given ideal class number.

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Yves Aubry. Class number in totally imaginary extensions of totally real function fields. Lecture Notes Series London Mathematical Society, 1996, Proceedings of the Third International Conference on Finite fields and Applications, pp.23--29. ⟨hal-00977316⟩